Two metal rods, one silver and the other copper, are both immersed at

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Homework Help Overview

The problem involves two metal rods, one made of silver and the other of copper, immersed in different temperature environments. The objective is to determine the total heat that flows through both rods over a specified time period, given their thermal conductivities and dimensions.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the application of the heat conduction formula and question the calculations provided by the original poster. There is a focus on ensuring the correct interpretation of the units and the distinction between heat rate and total heat.

Discussion Status

There is an ongoing examination of the calculations and the formula used. Some participants have pointed out potential misunderstandings regarding the units and the specific requirements of the problem, while others are clarifying the relationship between heat rate and total heat over time.

Contextual Notes

Participants note that the original poster did not specify the units for the values calculated, leading to ambiguity in understanding the results. Additionally, there is a clarification regarding the time frame for which the heat flow is being calculated, emphasizing the need to focus on one minute rather than two.

chemistrymole
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Homework Statement


Two metal rods, one silver and the other copper, are both immersed at one end in a steam chamber at a temperature of 100°C. The other end of each one is in an ice water bath at 0°C. The rods are 5.0 cm long and have a square cross-section that is 2.0 cm on a side. No heat is exchanged between the rods and the surroundings, except at the ends. How much total heat flows through the two rods each minute? The thermal conductivity of silver is 417 W/m • K, and that of copper is 395 W/m • K.


Homework Equations


I think it is H = (k*A*DT)/L


The Attempt at a Solution


I plugged each k separately and got 226 and 248 which are none of the answer choices.
 
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No idea what is the correct approach, but I am not surprised what you did doesn't yield a correct answer.

Assuming two copper rods, how much total heat would you expect?
 
The formula is OK. Check your calculations. Or show them here.
 
I don't think this is your only problem but it's "a" problem...

The formula gives the power in Watts but the question asks..

"How much total heat flows through the two rods each minute?"

.. which would be a figure in joules.

I say it's not the only problem because I got different values for the power in watts in each rod.
 
The problem asks for the heat that flows in 2 minutes. Once you have the power you can find the energy.
But the OP did not specify the units for the two values he got so is not clear what quantities they are supposed to represent.
 
chemistrymole said:

Homework Statement


Two metal rods, one silver and the other copper, are both immersed at one end in a steam chamber at a temperature of 100°C. The other end of each one is in an ice water bath at 0°C. The rods are 5.0 cm long and have a square cross-section that is 2.0 cm on a side. No heat is exchanged between the rods and the surroundings, except at the ends. How much total heat flows through the two rods each minute? The thermal conductivity of silver is 417 W/m • K, and that of copper is 395 W/m • K.


Homework Equations


I think it is H = (k*A*DT)/L


The Attempt at a Solution


I plugged each k separately and got 226 and 248 which are none of the answer choices.

Your formula is OK if

H = heat RATE (not heat), W
k = thermal conductivity, W/m
A = area, m^2
DT = temperature difference = 100C
L = length of rod, m

Obviously, the total heat rate is the sum of the heat rate of each bar. Then, heat = heat rate times time. Unit of heat is the Joule in SI units. Joules = watts x seconds.

Your answers are way, way too low.

@nasu: the question asks for the total heat conducted over 1 minute, not 2.
 

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